Am7b5 (A half-diminished seventh) is a four-note chord made from A, C, Eb and G. A half-diminished chord is a diminished triad with a minor seventh on top. It is the ii chord of a minor key, so it opens the minor ii-V-i that jazz leans on.
Built from the root A, the minor third C, the flat fifth Eb and the minor seventh G.
Frets from low E to high E; x means don't play that string.
Easiest shape to start with: Open position (x0101x). It has 2 open strings, nothing above fret 1 and 2 muted strings.
Every note of Am7b5 is in these keys. The numeral is its place in the key.